Cutting a mesh and preserve texture
cut your mesh in QUADS



UNWRAP again



add the solidify modifier, and apply



after this do the following


Save you Blend
CTRL + A
Apply SCALE and ROTATION


to return the value of the scale to one


save your blend again to update all


separate PIECES !!

see the screencast key in the gif

Step 1


Step 2


Step 3
separate the pieces one by one until completing this

NOTE: it is very likely that you have to adjust your uv map of each of the pieces because you have separated them and you have added new faces, you can use the same texture just place the uv in the place where the part that should texture your texture is, worth phrase redundancy

Remember remove dobles before you separate the piece



Step 4
repeat the process in each piece until you complete everything



another way to separate the pieces



obtain this